3 citations · 8 across the 8 of their papers we have counts for
11 papers
Time-fractional gradient flows for nonconvex energies in Hilbert spaces
Goro Akagi, Yoshihito Nakajima
This article is devoted to presenting an abstract theory on time-fractional gradient flows for nonconvex energy functionals in Hilbert spaces. Main results consist of local and glo…
General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
This paper presents an integrated framework to construct local-energy solutions to fairly general nonlinear diffusion equations for initial data growing at infinity under suitable…
Space-time homogenization for nonlinear diffusion
Goro Akagi, Tomoyuki Oka
The present paper is concerned with a space-time homogenization problem for nonlinear diffusion equations with periodically oscillating (in space and time) coefficients. Main resul…
Local well-posedness for Frémond's model of complete damage in elastic solids
Goro Akagi, Giulio Schimperna
We consider a model for the evolution of damage in elastic materials originally proposed by Michel Frémond. For the corresponding PDE system we prove existence and uniqueness of a…
Porous medium equation with a blow-up nonlinearity and a non-decreasing constraint
Goro Akagi, Stefano Melchionna
The final goal of this paper is to prove existence of local (strong) solutions to a (fully nonlinear) porous medium equation with blow-up term and nondecreasing constraint. To this…
Allen-Cahn equation with strong irreversibility
Goro Akagi, Messoud Efendiev
This paper is concerned with a fully nonlinear variant of the Allen-Cahn equation with strong irreversibility, where each solution is constrained to be non-decreasing in time. Main…